Do any of you guys hunt your own meat?

I live in the city and I don't have a car, so I've been collecting rabbits from the park. They usually half between a half pound and two pounds of meat, and its pretty quick to clean and butcher them. The only problems are that the lead pellets often disintegrate and end up in my food, and constantly killing rabbits has diminished my empathy for living things. How best proceed to avoid turning into a subhuman degenerate? Should I eat more or less rabbits?